How to import an object across scenes (sort-of)
To do that you just link the object to the new scene, and then make it a single user object.


Select object in Scene 1
In the Object menu, choose Make Links CTRL+L > Objects to Scene > Scene 2 (or whatever scene you want to link it to.
At this point the object is not a separate copy from the Scene 1 object. To make it separate, with the object selected, open the Object Menu, choose Make Single User >  Object (or one of the other options if appropriate)